{"common":{"save":0,"post_id":"8070","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"8866","post_id":"8070","mon_id":"1159278","chapter_id":"1159330","question":"<p>Cho h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y=\\dfrac{1}{4}x^2$<\/span>. C&oacute; bao nhi&ecirc;u gi&aacute; tr\u1ecb c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 \u0111i\u1ec3m&nbsp;<span class=\"math-tex\">$M\\bigg(m;\\dfrac{3}{4}\\bigg)$<\/span>&nbsp;thu\u1ed9c \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1 \u0111&atilde; cho?<\/p>","options":["<strong>A.<\/strong> 0","<strong>B.<\/strong> 1","<strong>C.<\/strong> 2","<strong>D.<\/strong> 3"],"correct":"3","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong> 2.<\/span><\/p><p><span class=\"math-tex\">$M\\bigg(m;\\dfrac{3}{4}\\bigg)$<\/span>&nbsp;thu\u1ed9c \u0111\u1ed3 th\u1ecb n&ecirc;n&nbsp;<span class=\"math-tex\">$\\dfrac{3}{4}=\\dfrac{1}{4}m^2$<\/span>&nbsp;suy ra m =&nbsp;<span class=\"math-tex\">$\\pm\\sqrt{3}$<\/span>.<\/p><p>V\u1eady c&oacute; 2 gi&aacute; tr\u1ecb c\u1ee7a tham s\u1ed1 m tho\u1ea3 y&ecirc;u c\u1ea7u.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-11-26 09:01:33","option_type":"txt","len":0},{"id":"8867","post_id":"8070","mon_id":"1159278","chapter_id":"1159330","question":"<p>Ph\u01b0\u01a1ng tr&igrave;nh <span class=\"math-tex\">$mx^2+(2m-5)x+m-2=0$<\/span>&nbsp;&nbsp;v\u1edbi m &isin; \u211d&nbsp;l&agrave; tham s\u1ed1&nbsp;c&oacute;&nbsp;nghi\u1ec7m khi<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$m=\\dfrac{25}{12}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$m&gt;\\dfrac{25}{12}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$m&lt;\\dfrac{25}{12}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$m\\le\\dfrac{25}{12}$<\/span>"],"correct":"4","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$m\\le\\dfrac{25}{12}$<\/span>.<\/span><\/p><p>TH1: V\u1edbi m = 0 th&igrave; ph\u01b0\u01a1ng tr&igrave;nh tr\u1edf th&agrave;nh&nbsp;<span class=\"math-tex\">$-5x-2=0$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$x=-\\dfrac{2}{5}$<\/span>.<\/p><p>TH2: V\u1edbi&nbsp;<span class=\"math-tex\">$m\\ne0$<\/span>&nbsp;th&igrave; ph\u01b0\u01a1ng tr&igrave;nh&nbsp;<span class=\"math-tex\">$mx^2+(2m-5)x+m-2=0$<\/span>&nbsp;l&agrave; ph\u01b0\u01a1ng tr&igrave;nh b\u1eadc hai c&oacute;&nbsp;<span class=\"math-tex\">$\\Delta=(2m-5)^2-4m(m-2)=-12m+25$<\/span>.<\/p><p>\u0110\u1ec3 ph\u01b0\u01a1ng tr&igrave;nh c&oacute; nghi\u1ec7m th&igrave;&nbsp;<span class=\"math-tex\">$\\Delta\\ge0$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$-12m+25\\ge0$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$m\\le\\dfrac{25}{12}$<\/span>&nbsp;.<\/p><p>K\u1ebft h\u1ee3p c\u1ea3 hai tr\u01b0\u1eddng h\u1ee3p ta \u0111\u01b0\u1ee3c&nbsp;<span class=\"math-tex\">$m\\le\\dfrac{25}{12}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-11-26 09:09:26","option_type":"math","len":0},{"id":"8868","post_id":"8070","mon_id":"1159278","chapter_id":"1159330","question":"<p>Cho ph\u01b0\u01a1ng tr&igrave;nh <span class=\"math-tex\">$x^2+(m-5)x-3(x-2)=0$<\/span>&nbsp;v\u1edbi m &isin; \u211d l&agrave; tham s\u1ed1. T&igrave;m m&nbsp;\u0111\u1ec3 ph\u01b0\u01a1ng tr&igrave;nh c&oacute;&nbsp;nghi\u1ec7m k&eacute;p.<\/p>","options":["<strong>A.<\/strong> m = &ndash;1","<strong>B.<\/strong> m = 1","<strong>C.<\/strong> m = 2","<strong>D.<\/strong> m = 0"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong> m =&nbsp;&ndash;1.<\/span><\/p><p><span class=\"math-tex\">$\\Delta=(m-5)^2+12(m-2)=m^2+2m+1=(m+1)^2$<\/span>.<\/p><p>Ph\u01b0\u01a1ng tr&igrave;nh c&oacute; nghi\u1ec7m k&eacute;p khi v&agrave; ch\u1ec9 khi&nbsp;<span class=\"math-tex\">$\\Delta=0$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$(m+1)^2=0$<\/span>&nbsp;hay m =&nbsp;&ndash;1.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-11-26 09:13:37","option_type":"txt","len":1}]}